How do solve the following linear system?: # 2x +5y - 21 = 0 , 3x – 2y = 7 #? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer P dilip_k Feb 27, 2016 #2x+5y-21=0-------(1)# #3x-2y-7=0-------(2)# By cross multiplication we have #x/(5*(-7)-(-2)*(-21))=y/(-21*3-(-7)*2)# #=1/(2*(-2)-5*3)# #=>x=77/19# #=>y=49/19# Answer link Related questions How do you solve systems of equations using the substitution method? How do you check your solutions to a systems of equations using the substitution method? When is the substitution method easier to use? How do you know if a solution is "no solution" or "infinite" when using the substitution method? How do you solve #y=-6x-3# and #y=3# using the substitution method? How do you solve #12y-3x=-1# and #x-4y=1# using the substitution method? Which method do you use to solve the system of equations #y=1/4x-14# and #y=19/8x+7#? What are the 2 numbers if the sum is 70 and they differ by 11? How do you solve #x+y=5# and #3x+y=15# using the substitution method? What is the point of intersection of the lines #x+2y=4# and #-x-3y=-7#? See all questions in Systems Using Substitution Impact of this question 2287 views around the world You can reuse this answer Creative Commons License